2023_programme: On the relationship between kinetic and potential energies in an oceanic waveguide: a broadband derivation.

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  • Session: 07. Modeling techniques for underwater acoustic scattering and propagation (including 3D effects)
    Organiser(s): Boris Katsnelson and Pavel S. Petrov
  • Lecture: On the relationship between kinetic and potential energies in an oceanic waveguide: a broadband derivation.
    Paper ID: 1859
    Author(s): Bonnel Julien, Flamant Julien
    Presenter: Bonnel Julien
    Abstract: Kinetic (Ek) and potential (Ep) energies are used to quantify the energetic properties of acoustic fields. Relationship between Ep and Ek are well known for simple situations, e.g. Ep=Ek for plane waves. In an oceanic waveguide, the interferences generated by the sea-surface and the seafloor make the situation more complex, and in general Ep and Ek are different. In this study, we derive broadband properties of Ep and Ek for oceanic waveguides. Using a normal mode point of view and a set of reasonable assumptions, we analytically demonstrate that Ep=Ek nearly everywhere in the waveguide, provided that the energies are integrated over a wide enough frequency band. Several realistic simulations will be presented to illustrate the relevance and generality of the mathematical derivation. [work funded by the Office of Naval Research and the Direction Générale de l'Armement]
  • Corresponding author: Dr Julien Bonnel
    Affiliation: Woods Hole Oceanographic Institution
    Country: United States
    e-mail:

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